Question

in a regular hexagon ABCDEF, AB vector =a and BC vector =b then Express DE vector, EF vector, AD vector and CD vector in terms of a vetor and b vector

Answer 1

here , given AB =a

BC =b 【 here a and b are vector】

EF=-b

DE=-a

and we know that AD=2BC

=2b

AD=AB+BC+CD

2b =a+b+CD

CD =b-a

and FA=-CD

=a-b

Ac=AB+BC

=a+b

AF=CD=b-a

and CF=2DE

=-2a